Journal Article

A functional identity involving elliptic integrals

Ramanujan Journal (2018) 47(2) 243-251
DOI: 10.1007/s11139-017-9915-4
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Abstract

We show that the following double integral ∫0πdx∫0xdy11-pcosx1+qcosyremains invariant as one trades the parameters p and q for p′=1-p2 and q′=1-q2, respectively. This invariance property is suggested from symmetry considerations in the operating characteristics of a semiconductor Hall effect device.

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APA

Glasser, M. L., & Zhou, Y. (2018). A functional identity involving elliptic integrals. Ramanujan Journal, 47(2), 243–251. https://doi.org/10.1007/s11139-017-9915-4

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